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Finding the Fourth Proportional to 32.74, 45.14 and 24.58

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Solution

The fourth proportional to 32.74, 45.14 and 24.58 is: 33.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.74 : 45.14 = 24.58 : x
  2. Step 2: Convert to fraction form
    32.74/45.14 = 24.58/x
  3. Step 3: Cross multiply
    32.74x = 45.14 × 24.58
  4. Step 4: Simplify right side
    32.74x = 1,109.54
  5. Step 5: Solve for x
    x = 1,109.54/32.74
  6. Step 6: Final answer
    x = 33.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.